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17 May 2018, 05:56
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D
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Difficulty:
35%
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Question Stats:
67% (01:41) correct
33%
(01:51)
wrong
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If the total cost of a housing project with f units is $1,750,000, what was the cost per unit for the housing project?
(1) If half as many units were built for the same total price, the cost per unit would be $250,000.
(2) If six more units had been built for the same total price, the cost per unit would be $3,750 less.
(1) If half as many units were built for the same total price, the cost per unit would be $250,000.
(2) If six more units had been built for the same total price, the cost per unit would be $3,750 less.
17 May 2018, 06:34
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let the unit of the houses be N,
from condition 1, we have $1,750,000/(N/2)= $250,000. we could get N and price per unit.
from condition 2, $1,750,000/(N+6)=$1,750,000/N-$3,750
we could calculate N and price per unit from either condition above, thus IMO D.
from condition 1, we have $1,750,000/(N/2)= $250,000. we could get N and price per unit.
from condition 2, $1,750,000/(N+6)=$1,750,000/N-$3,750
we could calculate N and price per unit from either condition above, thus IMO D.
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Expert reply
17 May 2018, 13:04
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If the total cost of a housing project with f units is $1,750,000, what was the cost per unit for the housing project?
(1) If half as many units were built for the same total price, the cost per unit would be $250,000.
(2) If six more units had been built for the same total price, the cost per unit would be $3,750 less.
Unit cost = (Total Cost)/(Total Units) ---> Unit cost = 1,750,000/(F)
Rephrase: What is f?
1) $250,000 = \(\frac{(1,750,000)}{(.5*f)}\)
- One variable + one equation = sufficient(f= 14)
2) Unit cost - 3750 =\(\frac{(1,750,000)}{(f + 6)}\)
- combined with given info gives two variables + two equations so also sufficient
Answer: D
(1) If half as many units were built for the same total price, the cost per unit would be $250,000.
(2) If six more units had been built for the same total price, the cost per unit would be $3,750 less.
Unit cost = (Total Cost)/(Total Units) ---> Unit cost = 1,750,000/(F)
Rephrase: What is f?
1) $250,000 = \(\frac{(1,750,000)}{(.5*f)}\)
- One variable + one equation = sufficient(f= 14)
2) Unit cost - 3750 =\(\frac{(1,750,000)}{(f + 6)}\)
- combined with given info gives two variables + two equations so also sufficient
Answer: D
